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Finding the Fourth Proportional to 171,840.38, 257,949.14 and 136,528.67

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Solution

The fourth proportional to 171,840.38, 257,949.14 and 136,528.67 is: 204,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,840.38 : 257,949.14 = 136,528.67 : x
  2. Step 2: Convert to fraction form
    171,840.38/257,949.14 = 136,528.67/x
  3. Step 3: Cross multiply
    171,840.38x = 257,949.14 × 136,528.67
  4. Step 4: Simplify right side
    171,840.38x = 35,217,452,974.07
  5. Step 5: Solve for x
    x = 35,217,452,974.07/171,840.38
  6. Step 6: Final answer
    x = 204,942.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.